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Question

A cylindrical container of length L is full to the brim with a liquid which has mass density rho. It is placed on a weight scale; the scale reading is w. A light ball which would float on the liquid if allowed to do so, of volume V and mass m is pushed gently down and held beneath the surface of the liquid with a rigid rod of negligible volume as shown on the left. If instead of being pushed down by a rod, the ball is held in place by a thin string attached to the bottom of the container as shown on the right. What is the tension T in the string?

  1. left parenthesis rho V–m)g    
  2. rho Vg    
  3. mg    
  4. none of these    

The correct answer is: left parenthesis rho V–m)g



    F = T + mg Þ Vrhog = T + mg \ T = (Vrho – m)g

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